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Finding the Fourth Proportional to 534.75, 797.93 and 480.21

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Solution

The fourth proportional to 534.75, 797.93 and 480.21 is: 716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 797.93 = 480.21 : x
  2. Step 2: Convert to fraction form
    534.75/797.93 = 480.21/x
  3. Step 3: Cross multiply
    534.75x = 797.93 × 480.21
  4. Step 4: Simplify right side
    534.75x = 383,173.97
  5. Step 5: Solve for x
    x = 383,173.97/534.75
  6. Step 6: Final answer
    x = 716.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.